Narrative:

At approximately 20 mi north gnv VOR at FL280 (time XX25Z) the #1 engine overheat light illuminated yellow. The first officer was flying the aircraft and I accomplished the engine fire, severe damage and separation checklist and shut down #1 engine. The overheat light remained illuminated, calling for both bottles to be discharged, which I did. The light (engine overheat) extinguished. I elected to continue to destination gso at which time I notified ATC of our condition, telling them that we had done a precautionary shutdown and giving our number onboard and fuel onboard. The nearest suitable airport was at the time richmond. However, I felt that my familiarity with greensboro (given the altitude of the aircraft and driftdown calculations) that greensboro afforded me a more safe option.

Google
 

Original NASA ASRS Text

Title: B737 CREW SHUTS DOWN ENG AND CONTINUES TO DEST IN ZDC AIRSPACE.

Narrative: AT APPROX 20 MI N GNV VOR AT FL280 (TIME XX25Z) THE #1 ENG OVERHEAT LIGHT ILLUMINATED YELLOW. THE FO WAS FLYING THE ACFT AND I ACCOMPLISHED THE ENG FIRE, SEVERE DAMAGE AND SEPARATION CHKLIST AND SHUT DOWN #1 ENG. THE OVERHEAT LIGHT REMAINED ILLUMINATED, CALLING FOR BOTH BOTTLES TO BE DISCHARGED, WHICH I DID. THE LIGHT (ENG OVERHEAT) EXTINGUISHED. I ELECTED TO CONTINUE TO DEST GSO AT WHICH TIME I NOTIFIED ATC OF OUR CONDITION, TELLING THEM THAT WE HAD DONE A PRECAUTIONARY SHUTDOWN AND GIVING OUR NUMBER ONBOARD AND FUEL ONBOARD. THE NEAREST SUITABLE ARPT WAS AT THE TIME RICHMOND. HOWEVER, I FELT THAT MY FAMILIARITY WITH GREENSBORO (GIVEN THE ALT OF THE ACFT AND DRIFTDOWN CALCULATIONS) THAT GREENSBORO AFFORDED ME A MORE SAFE OPTION.

Data retrieved from NASA's ASRS site as of July 2007 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.